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3 years ago

Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees

Mathematics

1 answer:

professor190 [17]3 years ago

3 0

Answer:

The coordinates of C" are (-7, 4)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)

If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

∴ C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

∵ x = -1 and y = 4

∴ C" = (-1 - 6, 4)

∴ C" = (-7, 4)

∴ The coordinates of C" are (-7, 4)

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The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would l

skad [1K]

Answer:

They need to survey 4145 residents.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?

This is n for which $M = 0.02$ . As we have no estimate for the proportion, we use $\pi = 0.5$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 2.575*0.5$

$\sqrt{n} = \frac{2.575*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{2.575*0.5}{0.02})^2$

$n = 4144.1$

Rounding up:

They need to survey 4145 residents.

4 0

3 years ago

Someone want to help me with some Geometry?

Aleks04 [339]

The second answer that uses = is not correct, because the pentagons are similar not congruent.
The third answer is not correct, because that sign means estimated, not similar.
I've never seen the fourth sign, so by process of elimination I believe the answer is the first one.

<span>ABCDE~QRSTU</span>

8 0

3 years ago

Asa is supposed to floss his teeth using 18" of floss daily. He began a new roll 50' on March 17th. If he still has 2 feet of fl

Licemer1 [7]

Answer:

Asa forgot to floss for 106 days.

Step-by-step explanation:

First of all, we will start by writing out the details we are given clearly.

Length of floss used per day = 18 inches

Original length of floss bought for use = 50 ft = 600 inches

Number of days between March 17th and August 2nd = 138 days

Length of floss left after August 2nd = 2 feet = 24 inches

From this, we can clearly calculate the length of floss used.

This will be original floss length - length of floss remaining = 600 - 24 = 576 inches

Length of floss used = 576 inches

If Asa used 18 inches per day, we can find the number of days he flossed by dividing the length used in total by the length used per day.

That will be 576/18 = 32 days

if Asa flossed for only 32 days, the number of days he didn't floss is 138 - 32 =106 days

Hence, Asa didn't floss for 106 days.

8 0

3 years ago

Given the exact value for sides a and c.

Over [174]

Answer:

See below

Step-by-step explanation:

a = 15 sqrt 2 sin 45

= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

5 0

2 years ago

Help please! questions in picture, 10 points and brainliest!

Nadusha1986 [10]

Answer:

1. A

2. p=12

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers